O(p + 1) x O(p + 1)-Invariant hypersurfaces with zero scalar curvature in euclidean space

DOI10.1590/S0001-37652000000200001zbMath0976.53061WikidataQ74133316 ScholiaQ74133316MaRDI QIDQ4495491

Jocelino Sato

Publication date: 13 January 2002

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

scalar curvatureequivariant geometryinvariant hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

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Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces ⋮ New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space

Cites Work

• New examples of constant mean curvature immersions of (2k-1)-spheres into euclidean 2k-space
• \(O(2)\times O(2)\)-invariant hypersurfaces with zero scalar curvature
• Minimal cones and the Bernstein problem
• O(2) × O(2)-Invariant Hypersurfaces with Constant Negative Scalar Curvature in E 4
• Minimal Hypersurfaces of R 2m Invariant by SO(m) × SO(m)

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